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Finding the Fourth Proportional to 345,483.92, 476,887.24 and 202,290

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Solution

The fourth proportional to 345,483.92, 476,887.24 and 202,290 is: 279,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,483.92 : 476,887.24 = 202,290 : x
  2. Step 2: Convert to fraction form
    345,483.92/476,887.24 = 202,290/x
  3. Step 3: Cross multiply
    345,483.92x = 476,887.24 × 202,290
  4. Step 4: Simplify right side
    345,483.92x = 96,469,519,779.60
  5. Step 5: Solve for x
    x = 96,469,519,779.60/345,483.92
  6. Step 6: Final answer
    x = 279,230.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.